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Alenkasestr [34]

3 years ago

12

The vertex of a parabola will never be on the axis of symmetry. true or false

1 answer:

Gala2k [10]3 years ago

4 0

False, it's always on the vertex of the parabola.

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If mAGF = mBGC = mDGC = mEGF = 67°, what is mAGB?

lesantik [10]

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4 0

3 years ago

Which statement is TRUE about perpendicular lines? 1. The lines intersect at a right angle 2. The lines are not in the same plan

alexgriva [62]

Answer:

b

Step-by-step explanation:

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8 0

3 years ago

If the function rule is 5x, what is the value when x=4

OleMash [197]

20 will be the answer when x=4

6 0

2 years ago

Triangle ABC is given where m(angle)A=33 degrees, a=15 in., and the height, h, is 9 in. How many distinct triangles can be made

4vir4ik [10]

Answer:

One triangle

Step-by-step explanation:

Find the measures of the triangle ABC

Let

D ----> intersection point of the height triangle ABC with the segment AB

step 1

Find the measure of angle B

In the right triangle BCD

$sin(B)=\frac{CD}{BC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(B)=\frac{9}{15}$

using a calculator

$B=sin^{-1}(\frac{9}{15})=36.9^o$

step 2

Find the length of segment DB in the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute

$15^2=9^2+DB^2$

$DB^2=15^2-9^2$

$DB^2=144\\DB=12\ in$

step 3

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

$A+B+C=180^o$

substitute the given values

$33^o+36.9^o+C=180^o$

$C=180^o-69.9^o=110.1^o$

step 4

Find the length side AC

In the right triangle ACD

$sin(A)=\frac{CD}{AC}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(33^o)=\frac{9}{AC}$

solve for AC

$AC=\frac{9}{sin(33^o)}=16.5\ in$

step 5

Find the length of segment AD

In the right triangle ACD

$tan(A)=\frac{CD}{AD}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(33^o)=\frac{9}{AD}$

$AD=\frac{9}{tan(33^o}}=13.9\ in$

step 6

Find the length side AB

$AB=AD+DB$

substitute the given values

$AB=13.9+12=25.9\ in$

step 7

The measures of triangle ABC are

$A=33^o\\B=36.9^o\\C=110.1^o\\AC=16.5\ in\\CB=15\ in\\AB=25.9\ in$

so

The measurements of the ABC triangle are unique

therefore

Only one triangle can be constructed with the given measurements

8 0

3 years ago

Which is an example of the commutative property?

Llana [10]

The answer is D. 18 + (–14) = –14 + 18

7 0

3 years ago